Hamilton principle for the vortex flow of an ideal fluid in special relativity
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The fundamental equations of an ideal—entropy current conserving—fluid are obtained from a Hamilton Principle. The Lagrangian is formulated in the usual way. The physical situation, however, requires the introduction of some constraints in the variational principle to restrict the variations of the original field quantities. The Lagrange multipliers entering in such a way are shown to lead to the possibility of vortices in the velocity field.
KeywordsLagrange Multiplier Variational Principle Vortex Flow Fundamental Part Proper Volume
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